A conjecture of Radu and Sellers on congruences modulo powers of 2 for
broken 3-diamond partitions
A conjecture of Radu and Sellers on congruences modulo powers of 2 for
broken 3-diamond partitions
In 2007, Andrews and Paule introduced the family of functions $\Delta_k(n)$, which enumerate the number of broken $k$-diamond partitions for a fixed positive integer $k$. In 2013, Radu and Sellers completely characterized the parity of $\Delta_3(8n + r)$ for some $r$ and gave a conjecture on congruences modulo powers of …